Question

You need to rent a moving truck for a day. You have identified two companies that rent trucks. Company A charges $45 per day plus $0.10 per mile. Company B charges $25 per day plus $0.30 per mile. For how many miles will the cost of renting be the same?

Answer 1

the cost of renting a truck from both companies will be the same for 100 miles.

Explanation:

Let's assume that the cost of renting a truck from Company A for x miles is C_A(x) and the cost of renting a truck from Company B for x miles is C_B(x).

From the given information, we know that:

C_A(x) = 45 + 0.10x

C_B(x) = 25 + 0.30x

We need to find the value of x for which C_A(x) = C_B(x). So we can set the two equations equal to each other and solve for x:

45 + 0.10x = 25 + 0.30x

20 = 0.20x

x = 100

Therefore, the cost of renting a truck from both companies will be the same for 100 miles.